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arXiv 2006.06294cs.LGstat.ML
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Adaptive Reward-Free Exploration

CNRS & ULille (CRIStAL)(法国国家科学研究中心与里尔大学(CRIStAL));Inria SequeL(法国国家信息与自动化研究所SequeL团队);Inria Lille(法国国家信息与自动化研究所里尔团队);Universitat Pompeu Fabra(庞培法布拉大学);Renault & Inria Lille(雷诺与法国国家信息与自动化研究所里尔团队);DeepMind Paris(DeepMind巴黎团队);Inria Lille, SequeL team(法国国家信息与自动化研究所里尔SequeL团队);SequeL team(SequeL团队)

Emilie Kaufmann, Pierre Ménard, Omar Darwiche Domingues, Anders Jonsson, Edouard Leurent, Michal Valko

英文摘要:

Reward-free exploration is a reinforcement learning setting studied by Jin et al. (2020), who address it by running several algorithms with regret guarantees in parallel. In our work, we instead give a more natural adaptive approach for reward-free exploration which directly reduces upper bounds on the maximum MDP estimation error. We show that, interestingly, our reward-free UCRL algorithm can be seen as a variant of an algorithm of Fiechter from 1994, originally proposed for a different objective that we call best-policy identification. We prove that RF-UCRL needs of order $({SAH^4}/{\varepsilon^2})(\log(1/δ) + S)$ episodes to output, with probability $1-δ$, an $\varepsilon$-approximation of the optimal policy for any reward function. This bound improves over existing sample-complexity bounds in both the small $\varepsilon$ and the small $δ$ regimes. We further investigate the relative complexities of reward-free exploration and best-policy identification.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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